Cover Vol.5, No.2, June 2008
text
article
2008
eng
Iranian Journal of Fuzzy Systems
University of Sistan and Baluchestan
1735-0654
5
v.
2
no.
2008
0
http://ijfs.usb.ac.ir/article_2903_b1e8b83ab19de88be3a860a02e7e1cbb.pdf
dx.doi.org/10.22111/ijfs.2008.2903
ESTIMATING THE PARAMETERS OF A FUZZY LINEAR
REGRESSION MODEL
A. R.
Arabpour
Faculty of Mathematics and Computer Sciences, Shahid Bahonar
University of Kerman, Kerman, Iran
author
M.
Tata
Faculty of Mathematics and Computer Sciences, Shahid Bahonar University
of Kerman, Kerman, Iran
author
text
article
2008
eng
Fuzzy linear regression models are used to obtain an appropriate
linear relation between a dependent variable and several independent variables
in a fuzzy environment. Several methods for evaluating fuzzy coefficients in
linear regression models have been proposed. The first attempts at estimating
the parameters of a fuzzy regression model used mathematical programming
methods. In this thesis, we generalize the metric defined by Diamond and
use it as a criterion to estimate these parameters. Our method, is not only
computationally easy to handle, but, when compared with earlier methods,
has a smaller the sum of errors of estimation.
Iranian Journal of Fuzzy Systems
University of Sistan and Baluchestan
1735-0654
5
v.
2
no.
2008
1
19
http://ijfs.usb.ac.ir/article_322_89ab18dcd4fa63d8116aaf289ebdb6b0.pdf
dx.doi.org/10.22111/ijfs.2008.322
GENERATING FUZZY RULES FOR PROTEIN CLASSIFICATION
EGHBAL
G. MANSOORI
COMPUTER SCIENCE AND ENGINEERING DEPARTMENT, COLLEGE OF
ENGINEERING, SHIRAZ UNIVERSITY, SHIRAZ, IRAN
author
MANSOOR J.
ZOLGHADRI
COMPUTER SCIENCE AND ENGINEERING DEPARTMENT, COLLEGE OF
ENGINEERING, SHIRAZ UNIVERSITY, SHIRAZ, IRAN
author
SERAJ D.
KATEBI
COMPUTER SCIENCE AND ENGINEERING DEPARTMENT, COLLEGE OF ENGINEERING,
SHIRAZ UNIVERSITY, SHIRAZ, IRAN
author
HASSAN
MOHABATKAR
BIOLOGY DEPARTMENT, COLLEGE OF SCIENCE, SHIRAZ UNIVERSITY, SHIRAZ,
IRAN
author
REZA
BOOSTANI
COMPUTER SCIENCE AND ENGINEERING DEPARTMENT, COLLEGE OF ENGINEERING,
SHIRAZ UNIVERSITY, SHIRAZ, IRAN
author
MOHAMMAD H.
SADREDDINI
COMPUTER SCIENCE AND ENGINEERING DEPARTMENT, COLLEGE OF
ENGINEERING, SHIRAZ UNIVERSITY, SHIRAZ, IRAN
author
text
article
2008
eng
This paper considers the generation of some interpretable fuzzy rules for assigning an amino acid sequence into the appropriate protein superfamily. Since the main objective of this classifier is the interpretability of rules, we have used the distribution of amino acids in the sequences of proteins as features. These features are the occurrence probabilities of six exchange groups in the sequences. To generate the fuzzy rules, we have used some modified versions of a common approach. The generated rules are simple and understandable, especially for biologists. To evaluate our fuzzy classifiers, we have used four protein superfamilies from UniProt database. Experimental results show the comprehensibility of generated fuzzy rules with comparable classification accuracy.
Iranian Journal of Fuzzy Systems
University of Sistan and Baluchestan
1735-0654
5
v.
2
no.
2008
21
33
http://ijfs.usb.ac.ir/article_325_c5e79ee9562ba9d7cc118a49b9ada1c0.pdf
dx.doi.org/10.22111/ijfs.2008.325
ON ( $\alpha, \beta$ )-FUZZY Hv-IDEALS OF H_{v}-RINGS
B.
Davvaz
Department of Mathematics, Yazd University, Yazd, Iran
author
P.
Corsini
Dipartimento di Matematica e Informatica, Via delle Scienze 206, 33100
Udine, Italy
author
text
article
2008
eng
Using the notion of “belongingness ($\epsilon$)” and “quasi-coincidence
(q)” of fuzzy points with fuzzy sets, we introduce the concept of an ($ \alpha, \beta$)-
fuzzyHv-ideal of an Hv-ring, where , are any two of {$\epsilon$, q,$\epsilon$ $\vee$ q, $\epsilon$ $\wedge$ q} with
$ \alpha$ $\neq$ $\epsilon$ $\wedge$ q. Since the concept of ($\epsilon$, $\epsilon$ $\vee$ q)-fuzzy Hv-ideals is an important and
useful generalization of ordinary fuzzy Hv-ideals, we discuss some fundamental
aspects of ($\epsilon$, $\epsilon$ $\vee$ q)-fuzzy Hv-ideals. A fuzzy subset A of an Hv-ring R is an
($\epsilon$, $\epsilon$ $\vee$ q)-fuzzy Hv-ideal if and only if an At, level cut of A, is an Hv-ideal
of R, for all t$\epsilon$(0, 0.5]. This shows that an($\epsilon$, $\epsilon$ $\vee$ q)-fuzzy Hv-ideal is a
generalization of the existing concept of fuzzy Hv-ideal. Finally, we extend
the concept of a fuzzy subgroup with thresholds to the concept of a fuzzy
H_{v}-ideal with thresholds.
Iranian Journal of Fuzzy Systems
University of Sistan and Baluchestan
1735-0654
5
v.
2
no.
2008
35
47
http://ijfs.usb.ac.ir/article_331_7ce6dea60021dc9f6ab1487b3ea00cf9.pdf
dx.doi.org/10.22111/ijfs.2008.331
A COMMON FIXED POINT THEOREM FOR SIX WEAKLY
COMPATIBLE MAPPINGS IN M-FUZZY METRIC SPACES
Shaban
Sedghi
Department of Mathematics, Islamic Azad University-Ghaemshahr
Branch, Ghaemshahr P.O.Box 163, Iran
author
K. P. R.
Rao
Department of Applied Mathematics, Acharya Nagarjuna University-
Nuzvid Campus, Nuzvid-521201, A.P., India
author
Nabi
Shobe
Department of Mathematics, Islamic Azad University-Babol Branch,
Iran
author
text
article
2008
eng
In this paper, we give some new definitions of M-fuzzy metric spaces and we prove a common fixed point theorem for six mappings under the condition of weakly compatible mappings in complete M-fuzzy metric spaces.
Iranian Journal of Fuzzy Systems
University of Sistan and Baluchestan
1735-0654
5
v.
2
no.
2008
49
62
http://ijfs.usb.ac.ir/article_333_8ac38854328cccd8f1a4b2688d0453bc.pdf
dx.doi.org/10.22111/ijfs.2008.333
REDEFINED FUZZY SUBALGEBRAS OF BCK/BCI-ALGEBRAS
Arsham
Borumand Saeid
Department of Mathematics, Shahid Bahonar University
of Kerman, Kerman, Iran
author
Y. B.
Jun
Department of Mathematics Education (and RINS), Gyeongsang National
University, Chinju 660-701, Korea
author
text
article
2008
eng
Using the notion of anti fuzzy points and its besideness to and nonquasi-coincidence with a fuzzy set, new concepts in anti fuzzy subalgebras in BCK/BCI-algebras are introduced and their properties and relationships are investigated.
Iranian Journal of Fuzzy Systems
University of Sistan and Baluchestan
1735-0654
5
v.
2
no.
2008
63
70
http://ijfs.usb.ac.ir/article_334_806c0d3571ea942aae4f0a7501f33fe5.pdf
dx.doi.org/10.22111/ijfs.2008.334
MODULARITY OF AJMAL FOR THE LATTICES OF FUZZY IDEALS
OF A RING
IFFAT
JAHAN
DEPARTMENT OF MATHEMATICS, RAMJAS COLLEGE, UNIVERSITY OF
DELHI, NEW DELHI , INDIA
author
text
article
2008
eng
In this paper, we construct two fuzzy sets using the notions of level subsets and strong level subsets of a given fuzzy set in a ring R. These fuzzy sets turn out to be identical and provide a universal construction of a fuzzy ideal generated by a given fuzzy set in a ring. Using this construction and employing the technique of strong level subsets, we provide the shortest and direct fuzzy set theoretic proof of the fact that the lattice $\vartheta$(R) of all fuzzy ideals of a ring R is modular.
Iranian Journal of Fuzzy Systems
University of Sistan and Baluchestan
1735-0654
5
v.
2
no.
2008
71
78
http://ijfs.usb.ac.ir/article_335_d77ea108880da9b02b705e6c27df1d4f.pdf
dx.doi.org/10.22111/ijfs.2008.335
A NEW NOTION OF FUZZY PS-COMPACTNESS
Shi-Zhong
Bai
Department of Mathematics, Wuyi University, Guangdong 529020,
P.R.China
author
text
article
2008
eng
In this paper, using pre-semi-open L-sets and their inequality, a new notion of PS-compactness is introduced in L-topological spaces, where L is a complete De Morgan algebra. This notion does not depend on the structure of the basis lattice L and L does not need any distributivity.
Iranian Journal of Fuzzy Systems
University of Sistan and Baluchestan
1735-0654
5
v.
2
no.
2008
79
86
http://ijfs.usb.ac.ir/article_336_43f0e2d4affed0974ee3c15224348666.pdf
dx.doi.org/10.22111/ijfs.2008.336
FUZZY SEMI-IDEAL AND GENERALIZED FUZZY QUOTIENT RING
YAO
BINGXUE
DEPARTMENT OF MATHEMATICS, HAINAN NORMAL UNIVERSITY, HAIKOU, HAINAN
571158, CHINA AND SCHOOL OF MATHEMATICS SCIENCE, LIAOCHENG UNIVERSITY, LIAOCHENG, SHANDONG
252059, CHINA
author
text
article
2008
eng
The concepts of fuzzy semi-ideals of R with respect to H≤R and generalized fuzzy quotient rings are introduced. Some properties of fuzzy semiideals are discussed. Finally, several isomorphism theorems for generalized fuzzy quotient rings are established.
Iranian Journal of Fuzzy Systems
University of Sistan and Baluchestan
1735-0654
5
v.
2
no.
2008
87
92
http://ijfs.usb.ac.ir/article_337_1025373edc6782ededb183dc98929799.pdf
dx.doi.org/10.22111/ijfs.2008.337
t-BEST APPROXIMATION IN FUZZY NORMED SPACES
S. M.
Vaezpour
Department of Mathematics, Amirkabir University, Tehran, Iran
author
F.
Karimi
Department of Mathematics, University of Yazd, Yazd, Iran
author
text
article
2008
eng
The main purpose of this paper is to find t-best approximations in fuzzy normed spaces. We introduce the notions of t-proximinal sets and F-approximations and prove some interesting theorems. In particular, we investigate the set of all t-best approximations to an element from a set.
Iranian Journal of Fuzzy Systems
University of Sistan and Baluchestan
1735-0654
5
v.
2
no.
2008
93
99
http://ijfs.usb.ac.ir/article_338_cd7551ba57400b6f1b81b832dafed611.pdf
dx.doi.org/10.22111/ijfs.2008.338
Persian-translation Vol.5, No.2, June 2008
text
article
2008
eng
Iranian Journal of Fuzzy Systems
University of Sistan and Baluchestan
1735-0654
5
v.
2
no.
2008
103
111
http://ijfs.usb.ac.ir/article_2904_09698e782b4a3f1128cab8182d0d7920.pdf
dx.doi.org/10.22111/ijfs.2008.2904